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Mathematics

Head of Subject: Mr Vettiankal (vettiankal@williamellis.camden.sch.uk)

The main aims of our Department are:

  • To interest and motivate our students in their mathematical studies by ensuring they experience success using a wide range of courses and a variety of teaching and learning styles.
  • To maximise the personal mathematical potential of each of our students and enable them to achieve good examination results by challenging them to work hard and consistently in a pleasant environment.
  • To ensure that students feel at ease with any basic mathematical concepts encountered either inside or outside of the classroom. They are exposed to a wide variety of relevant and useful mathematics.
  • To arouse a sense of mathematical wonder in our students by sharing our enthusiasm and exploring mathematics for its own sake.
  • To prepare our students for the wider responsibilities of adult life by a classroom ethos which encourages responsibility, initiative, concentration, perseverance, co-operation and respect for others.

Key Stage 3

Year 7

  • Simplify fractions by cancelling all common factors; identify equivalent fractions.
  • Recognise the equivalence of percentages, fractions and decimals.
  • Extend mental methods of calculation to include decimals, fractions and percentages.
  • Multiply and divide three-digit by two-digit whole numbers; extend
  • Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations and methods.
  • Check a result by considering whether it is of the right order of magnitude.
  • Know and use the order of operations and understand that algebraic operations follow the same conventions
  • Plot the graphs of simple linear functions.
  • Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle.
  • Convert one metric unit to another (e.g. grams to kilograms); read and interpret scales on a range of measuring instruments.
  • Compare two simple distributions using the range and one of the modes, median or mean.
  • Understand and use the probability scale from 0 to 1
  • Solve word problems and investigate in a range of contexts, explaining and justifying methods and conclusions

Year 8

  • Add, subtract, multiply and divide integers
  • Use the equivalence of fractions, decimals and percentages to compare proportions
  • Divide a quantity into two or more parts in a given ratio
  • Use standard column procedures for multiplication and division of integers and decimals
  • Simplify or transform linear expressions by collecting like terms
  • Substitute integers into simple formulae.
  • Plot the graphs of linear functions, where y is given explicitly in terms of x; recognise that equations of the form y = mx + c
  • Identify alternate and corresponding angles
  • Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor.
  • Use straight edge and compasses to do standard constructions
  • Deduce and use formulae for the area of a triangle and parallelogram, and the volume of a cuboid
  • Construct, on paper and using ICT, a range of graphs and charts;

Year 9

  • Add, subtract, multiply and divide fractions.
  • ·   Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole
  • Make and justify estimates and approximations of calculations.
  • Construct and solve linear equations with integer coefficients, using an appropriate method.
  • Generate terms of a sequence using term-to-term and position-to- term definitions of the sequence, on paper and using ICT
  • Know and use the formulae for the circumference and area of a circle.
  • Design a survey or experiment to capture the necessary data from one or more sources
  • Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems.
  • Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques
  • Present a concise, reasoned argument, using symbols, diagrams, graphs and related explanatory text.

 

Year 9 objectives for more able pupils

  • Know and use the index laws for multiplication and division of positive integer powers.
  • Understand and use proportionality and calculate the result of any proportional change using multiplicative method
  • Square a linear expression and expand the product of two linear expressions of the form x ± n; establish identities.
  • Solve a pair of simultaneous linear equations by eliminating one variable
  • Change the subject of a formula.
  • Know that if two 2-D shapes are similar, corresponding angles are equal and corresponding sides are in the same ratio.
  • Understand and apply Pythagoras’ theorem.
  • Know from experience of constructing them that triangles given SSS, SAS, ASA or RH

Key Stage 4 – GCSE Specification Edexcel Maths 1MA1

Year 10

  • Calculation, checking and rounding
  • Indices, roots, reciprocals
  • Factors, multiples, primes, standard form and surds
  • Algebra: the basics, setting up, rearranging and solving equations
  • Sequences
  • Averages and range
  • Fractions and percentages
  • Representing and interpreting data and scatter graphs
  • Ratio and proportion
  • Polygons, angles and parallel lines
  • Pythagoras’ Theorem and trigonometry
  • Linear graphs and coordinate geometry
  • Quadratic, cubic and other graphs
  • Perimeter, area and circles
  • 3D forms and volume, cylinders, cones and spheres
  • Accuracy and bounds

Year 11

  • Transformations
  • Constructions, loci and bearings
  • Solving quadratic and simultaneous equations
  • Inequalities
  • Probability
  • Similarity and congruence  in 2D and 3D
  • Graphs of trigonometric functions
  • Further Trigonometry
  • Collecting data
  • Cumulative frequency, box plots and histograms
  • Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics    
  • Circle theorems
  • Circle geometry
  • Rearranging the subject of formulae, algebraic fractions, rationalising surds
  • Vectors and geometric proof
  • Reciprocal and exponential graphs ; gradient and area under graphs
  • Direct and inverse proportion

Assessment –

  • The qualification consists of three equally-weighted written examination papers at either Foundation tier or Higher tier.
  • All three papers must be at the same tier of entry and must be completed in the same assessment series.
  • Paper 1 is a non-calculator assessment and a calculator is allowed for Paper 2 and Paper 3.
  • Each paper is 1 hour and 30 minutes long.